MathToSuccess
Where Practice Brings Success
X
IntroductionGT package Math OlympiadSHSAT MathSAT MathPrintable Booklet
Math Game My ArchiveFeedbackFAQContact Info
Number series

This section assesses students' inductive reasoning, quantitative reasoning, and number facility. The test presents a set of numbers, and the student is to select the number that would come next in the series.

    In order to answer a question, the student will need to:
  • Figure out the pattern from the given number series;
  • From the choices, select the one comes next in the series following the same pattern
    Below shows a number of typical patterns and examples
  • Adding a certain number to get the next:
    1.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
    610141822
    A) 24B) 34C) 26D) 32E) 22
    [Correct Answer]:C
  • Deducting a certain number to get the next:
    2.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
    87654
    A) 0B) 3C) 6D) 1E) 4
    [Correct Answer]:B
  • Adding the previous two numbers to get the next:
    3.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
    369152439
    A) 61B) 67C) 60D) 63E) 62
    [Correct Answer]:D
  • Every 3 numbers repeat:
    4.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
    036036036
    A) 12B) 6C) 9D) 3E) 0
    [Correct Answer]:E
  • Every 3 numbers repeat with order changes:
    5.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.

    147714471147
    A) 7B) 1C) 13D) 4E) 10
    [Correct Answer]:A
  • Every 4 numbers repeat:
    6.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
    1
    14
     
    1
    11
     
    1
    8
     
    1
    5
     
    1
    14
     
    1
    11
     
    1
    8
     
    1
    5
     
    1
    14
     
    1
    11
     
    1
    8
     
    1
    5
     
    1
    14
     
    1
    11
     
    1
    8
     
    A)
    1
    20
     
    B)
    1
    14
     
    C)
    1
    17
     
    D)
    1
    5
     
    E)
    1
    11
     
    [Correct Answer]:D
  • Every 4 numbers as a group:
    7.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
    12342234323442
    A) 3B) 5C) 4D) 2E) 1
    [Correct Answer]:A
  • Adding one to both denominator and numerator to get the next fraction:
    8.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.

    4
    5
     
    5
    6
     
    6
    7
     
    7
    8
     
    8
    9
     
    9
    10
     
    10
    11
     
    A)
    11
    12
     
    B)
    13
    12
     
    C)
    10
    12
     
    D)
    11
    10
     
    E)
    11
    13
     
    [Correct Answer]:A
  • Each number is square number in sequence:
    9.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.

    1491625
    A) 54B) 36C) 12D) 30E) 24
    [Correct Answer]:B
  • Appending a digit following certain pattern to get the next number:
    10.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
    636363336333633333633
    A) 336333B) 33363333C) 333363D) 3333633E) 3336333
    [Correct Answer]:E